解题方法
1 . 在直三棱柱
中,
,
,角B是直角,点D是侧棱
的中点,则异面直线
与直线
所成的角大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f41d364b55d88688cd1f571ed231228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93ecad355286188fd317939fa50f9555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 如图,在四棱锥
中,底面
是等腰梯形,
,
,
,
,
,
为
中点,
,
.
(1)证明:
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb466d3d90e7d27f27c60c8beecd4444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491c3a4f72b84ebadd28b90711435adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998329f9cdb86f5d60d7d5d70fc3781e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9425630dcfe5a824c44904d4f71e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b235d0737ddc0d2c85abd4484c10d76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/0a50e735-7b25-4376-a0a8-0f4e2614a7d3.png?resizew=156)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e4c39ba72d14560e283ad7f75353a0.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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3 . 在
中,若
,
,
,则
的面积
可能为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a74c3e9a8f3f11e98b4fa659a97679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-12-13更新
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4卷引用:辽宁省抚顺市雷锋高级中学2021-2022学年高二上学期期末数学试题
辽宁省抚顺市雷锋高级中学2021-2022学年高二上学期期末数学试题(已下线)第六章 平面向量及其应用(单元综合测试卷)-【寒假自学课】(人教A版2019)湖南省常德市第一中学2023-2024学年高一下学期第一次月考数学试题(已下线)专题04解三角形的7种常考题型归类-《期末真题分类汇编》(北师大版(2019))
4 . 在
中,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4376af85e07b29051a812ff3fcda61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e3fc39d2b508cc1cae769a5e7266c0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-06-11更新
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4卷引用:第九章 解三角形 单元检测卷
5 . 在
,点
在边
上,
,
,
.当
取得最小值时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0188b06b514e41f298449ede057e2062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499f02e624b84c5fa5d479d24a3ed99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746853ea6d76bd7cccc6bdd6c739aed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c978d92edf0c4c1ef8620c17df75d35e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 在①
;②
这两个条件中任选一个,补充在下面问题中.
在
,角A,B,C的对边分别为a,b,c,且 .
(1)判断
的形状并给出证明;
(2)若
,求
的取值范围.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e02e6946143207c276f7430942c1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7ec9f2a433a1fe1975b221025a4be5.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe05083b4f23c15bf5616abd4a43c57e.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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7 . 已知向量
,
,
,设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4460be28db81bbb614274645aa1a36.png)
(1)求函数
的单调递增区间;
(2)设
,
,
分别为
的内角
,
,
的对边,若
,
,
的面积为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4087d0dbd10892eb7bf75ead9b40b28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c33e03552a0027914ac8acf6aa2d578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4460be28db81bbb614274645aa1a36.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efdeeb6b84f83665c70b6a8069d703c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4aa8f68a1bc7f5224f13eceb75a98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6卷引用:辽宁省营口市大石桥市第三高级中学2022-2023学年高二上学期10月月考数学试题
名校
解题方法
8 . 如图,在等腰直角三角形
中,
,
、
分别是线段
、
上异于端点的动点,且
,现将
沿直线
折起至
,使平面
平面
,当
从
滑动到A的过程中,
的大小变化是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69550d878381f6e8fb436e88638f070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e210c9698063925ad2df6b6c1749571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34dbf33492e5223df78dea34a24ae015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595648b2662f49e0fdd4e36e018ab551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c42bce098904b241986bb91c65ab33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975e53b518e716ff49ce1ddac636dc1f.png)
A.由小变大 | B.由大变小 | C.先变小后变大 | D.大小不变 |
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2023-08-17更新
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7卷引用:辽宁省大连市第八中学2022-2023学年高二上学期10月月考数学试题
辽宁省大连市第八中学2022-2023学年高二上学期10月月考数学试题辽宁省大连市大连王府高级中学有限公司2023-2024学年高二上学期10月月考数学试题(已下线)第15讲 8.6.3平面与平面垂直(第2课时)-【帮课堂】(人教A版2019必修第二册)(已下线)专题8.7 空间直线、平面的垂直(二)【八大题型】-举一反三系列(已下线)8.6.3平面与平面垂直【第三练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题13.5空间平面与平面的位置关系-重难点突破及混淆易错规避(苏教版2019必修第二册)(已下线)【人教A版(2019)】高一下学期期末模拟测试A卷
名校
解题方法
9 . 在
中,是
,B,
所对应的分边别为
,
,
,且满足
.
(1)求
;
(2)若
,
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340997fc3cf1c311dc550b9221858db5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-08-14更新
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13卷引用:辽宁省渤海大学附属高级中学2022-2023学年高二上学期第一次月考数学试题
辽宁省渤海大学附属高级中学2022-2023学年高二上学期第一次月考数学试题贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题贵州省遵义市2021-2022学年高一下学期期末质量监测数学试题山西省山西大附属中学2023届高三上学期8月模块诊断数学试题(已下线)6.4.1 正余弦定理(精练)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)专题08 解三角形-1陕西省咸阳市武功县普集高级中学2023届高三5月模考(三)数学(文)试题陕西省咸阳市武功县普集高级中学2023届高三5月模拟预测理科数学试题四川省内江市第六中学2023-2024学年高三上学期第一次月考理科数学试题四川省成都市石室阳安中学2023-2024学年高三上学期11月月考理科数学试题四川省成都市石室阳安中学2023-2024学年高三上学期11月月考文科数学试题江西省赣州市全南县全南中学2024届高三上学期期中数学试题(已下线)专题09高一数学下学期期末考点大汇总-《期末真题分类汇编》(人教B版2019必修第四册)
名校
解题方法
10 . 在
中,内角
的对边分别为
,且
,
,则角
的大小是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b6eadc96db543c9721a18ae149aa1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24618e62fce85293e35fcc5eb2808bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-08-09更新
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2卷引用:辽宁省锦州市黑山县2023届高三上学期10月月考数学试题